Question

problem 4 making a prediction
got it? a. use the graph of the sales information from problem 4. what conjecture can you make about backpack sales in june?

b. reasoning is it reasonable to use this graph to make a conjecture about sales in august? explain.
backpacks sold
number
11,000
10,500
10,000
9500
9000
8500
8000
0
n d j f m a m
month

Explanation:

a. Observe the downward trend of backpack sales from November to May: each month, sales decrease by roughly 500 units. Following this pattern, June sales would continue the decline.
b. The existing data only covers up to May, and the downward trend is tied to the end of a school year. By August, back-to-school demand would reverse the trend, so the current pattern will not hold.

Answer:

a. A conjecture is that backpack sales in June will be around 8000 units, continuing the steady monthly downward trend seen from November to May.
b. No, it is not reasonable. The downward trend is likely tied to the end of the school year, and by August, back-to-school demand would cause sales to increase, breaking the existing trend shown in the graph.